260
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

From a quasi-static fluid-based evolutionary topology optimization to a generalization of BESO

&
Pages 689-705 | Received 06 Aug 2013, Accepted 31 Mar 2014, Published online: 06 May 2014

References

  • Bendsøe, M.P. 1989. “Optimal Shape Design as a Material Distribution Problem.” Structural Optimization 1 (4): 193–202. doi: 10.1007/BF01650949
  • Bendsøe, M.P., and O. Sigmund. 1995. Topology Optimization—Theory, Methods and Applications. Berlin: Springer-Verlag.
  • Bruggia, Matteo, and Carlo Cinquini. 2011. “Topology Optimization for Thermal Insulation: An Application to Building Engineering.” Engineering Optimization 43 (11): 1223–1242. doi: 10.1080/0305215X.2010.550284
  • Burczyński, T., M. Bonnet, P. Fedeliński, and M. Nowakowski. 2002. “Sensitivity Analysis and Identification of Material Defects in Dynamical Systems.” Systems Analysis Modelling Simulation 42 (4): 559–574. doi: 10.1080/02329290290031323
  • Cheng, Gengdong, and Zheng Jiang. 1992. “Study on Topology Optimization with Stress Constraints.” Engineering Optimization 20 (2): 129–148. doi: 10.1080/03052159208941276
  • Cheng, Gengdong, and Xiaofeng Liu. 2011. “Discussion on Symmetry of Optimum Topology Design.” Structural and Multidisciplinary Optimization 44 (5): 713–717. doi: 10.1007/s00158-011-0686-z
  • Cheng, Gengdong, and Kun Yan. 2013. “A Hybrid Approach to Structural Topology Optimization of Vehicle for Crashworthiness.” Paper presented at the 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, FL, May 23.
  • Cinquini, Carlo, Claudia Mariani, and Paolo Venini. 1997. “Optimal Robust Design of Novel Materials: Problems of Stability and Vibrations.” Engineering Optimization 29 (1-4): 323–245. doi: 10.1080/03052159708941000
  • Huang, X., and Y.M. Xie. 2007. “Convergent and Mesh Independent Solutions for Bi-Directional Evolutionary Structural Optimization Method.” Finite Elements in Analysis and Design 43 (14): 1039–1049. doi: 10.1016/j.finel.2007.06.006
  • Huang, X., and Y.M. Xie. 2010a. Evolutionary Topology Optimization of Continuum Structures—Methods and Applications. Chichester, UK: Wiley.
  • Huang, Xiaodong, and Yi-Min Xie. 2010b. “A Further Review of ESO Type Methods for Topology Optimization.” Structural and Multidisciplinary Optimization 41 (5): 671–683. doi: 10.1007/s00158-010-0487-9
  • Phan, Duoc T., James B.P. Lim, Wei Sha, Calvin Y.M. Siew, Tiku T. Tanyimboh, Honar K. Issa, and Fouad A. Mohammad. 2013. “Design Optimization of Cold-Formed Steel Portal Frames Taking Into Account the Effect of Building Topology.” Engineering Optimization 45 (4): 415–433. doi: 10.1080/0305215X.2012.678493
  • Qiao, Heting, and Shutian Liu. 2013. “Topology Optimization by Minimizing the Geometric Average Displacement.” Engineering Optimization 45 (1): 1–18. doi: 10.1080/0305215X.2012.654789
  • Sigmund, O. 2001. “A 99 Line Topology Optimization Code written in MATLAB.” Structural and Multidisciplinary Optimization 21 (2): 120–127. doi: 10.1007/s001580050176
  • Sigmund, O., and J. Petersson. 1998. “Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing with Checkerboards, Mesh Independencies, and Local Minima.” Structural and Multidisciplinary Optimization 16 (1): 68–75. doi: 10.1007/BF01214002
  • Torii, André Jacomel, Rafael Holdorf Lopez, and Fabio Biondini. 2012. “An Approach to Reliability-Based Shape and Topology Optimization of Truss Structures.” Engineering Optimization 44 (1): 37–53. doi: 10.1080/0305215X.2011.558578
  • Xie, Y. M., and G.P. Steven. 1993. “A Simple Evolutionary Procedure for Structural Optimisation.” Computers and Structures 49 (5): 885–896. doi: 10.1016/0045-7949(93)90035-C
  • Zhou, M., and G.I.N. Rozvany. 1991. “The COC Algorithm—Part II: Topological, Geometry and Generalized Shape Optimization.” Computer Methods in Applied Mechanics and Engineering 89 (1–3): 309–336. doi: 10.1016/0045-7825(91)90046-9

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.